Circumsphere Radius of Truncated Cube Calculator

✖Edge Length of Truncated Cube is the length of any edge of the Truncated Cube.ⓘ Edge Length of Truncated Cube [l_e]

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✖Circumsphere Radius of Truncated Cube is the radius of the sphere that contains the Truncated Cube in such a way that all the vertices are lying on the sphere.ⓘ Circumsphere Radius of Truncated Cube [r_c]

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Circumsphere Radius of Truncated Cube Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Edge Length of Truncated Cube
r_c = sqrt(7+(4*sqrt(2)))/2*l_e
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Circumsphere Radius of Truncated Cube - (Measured in Meter) - Circumsphere Radius of Truncated Cube is the radius of the sphere that contains the Truncated Cube in such a way that all the vertices are lying on the sphere.
Edge Length of Truncated Cube - (Measured in Meter) - Edge Length of Truncated Cube is the length of any edge of the Truncated Cube.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Truncated Cube: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt(7+(4*sqrt(2)))/2*l_e --> sqrt(7+(4*sqrt(2)))/2*10

Evaluating ... ...

r_c = 17.7882364566392

STEP 3: Convert Result to Output's Unit

17.7882364566392 Meter --> No Conversion Required

FINAL ANSWER

17.7882364566392 ≈ 17.78824 Meter <-- Circumsphere Radius of Truncated Cube

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Walchand College of Engineering (WCE), Sangli

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< Truncated Cube Calculators

Total Surface Area of Truncated Cube

LaTeX Go Total Surface Area of Truncated Cube = 2*(6+(6*sqrt(2))+sqrt(3))*Edge Length of Truncated Cube^2

Circumsphere Radius of Truncated Cube

LaTeX Go Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Edge Length of Truncated Cube

Midsphere Radius of Truncated Cube

LaTeX Go Midsphere Radius of Truncated Cube = (2+sqrt(2))/2*Edge Length of Truncated Cube

Volume of Truncated Cube

LaTeX Go Volume of Truncated Cube = (21+(14*sqrt(2)))/3*Edge Length of Truncated Cube^3

Circumsphere Radius of Truncated Cube Formula

LaTeX Go

Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Edge Length of Truncated Cube
r_c = sqrt(7+(4*sqrt(2)))/2*l_e

What is a Truncated Cube?

In geometry, the Truncated Cube or truncated hexahedron is an Archimedean solid, which obtained by truncating or cutting off the eight edges of a cube. It has 14 regular faces (6 octagonal and 8 triangular), 36 edges, and 24 vertices. All the vertices are identical in such a way that, at each vertex two octagonal faces and one triangular face join together. The dual body of Truncated Cube is called triakis octahedron.

How to Calculate Circumsphere Radius of Truncated Cube?

Circumsphere Radius of Truncated Cube calculator uses Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Edge Length of Truncated Cube to calculate the Circumsphere Radius of Truncated Cube, Circumsphere Radius of Truncated Cube formula is defined as the radius of the sphere that contains the Truncated Cube in such a way that all the vertices are lying on the sphere. Circumsphere Radius of Truncated Cube is denoted by r_c symbol.

How to calculate Circumsphere Radius of Truncated Cube using this online calculator? To use this online calculator for Circumsphere Radius of Truncated Cube, enter Edge Length of Truncated Cube (l_e) and hit the calculate button. Here is how the Circumsphere Radius of Truncated Cube calculation can be explained with given input values -> 17.78824 = sqrt(7+(4*sqrt(2)))/2*10.

FAQ

What is Circumsphere Radius of Truncated Cube?

Circumsphere Radius of Truncated Cube formula is defined as the radius of the sphere that contains the Truncated Cube in such a way that all the vertices are lying on the sphere and is represented as r_c = sqrt(7+(4*sqrt(2)))/2*l_e or Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Edge Length of Truncated Cube. Edge Length of Truncated Cube is the length of any edge of the Truncated Cube.

How to calculate Circumsphere Radius of Truncated Cube?

Circumsphere Radius of Truncated Cube formula is defined as the radius of the sphere that contains the Truncated Cube in such a way that all the vertices are lying on the sphere is calculated using Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Edge Length of Truncated Cube. To calculate Circumsphere Radius of Truncated Cube, you need Edge Length of Truncated Cube (l_e). With our tool, you need to enter the respective value for Edge Length of Truncated Cube and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Circumsphere Radius of Truncated Cube?

In this formula, Circumsphere Radius of Truncated Cube uses Edge Length of Truncated Cube. We can use 1 other way(s) to calculate the same, which is/are as follows -

Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Cubic Edge Length of Truncated Cube/(1+sqrt(2))

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